The pulley arrangements of Figs. (a) and (b) are identical. The mass of the rope is negligible. In (a) the mass m is lifted up by attaching a mass 2m to the other end of the rope. In (b), m is lifted up by pulling the other end of the rope with a constant downward force `F=2mg`. The acceleration of m is the same in both cases

Explanation

False
In first case
For mass m
T - mg = ma
for mass 2m
2mg - T = 2 ma …. (ii)
From (i) and (ii) a = g/3
In second case : T - mg = ma'
2 mg - mg = ma `:.` a' = g